Mathematics

Alexandria Reynolds

16 December, 01:16

3. In a carnival game, players are given three darts and throw them at a set of balloons on a wall.

Suppose there are eight balloons on the wall. Five of the eight balloons have slips of paper in

them that say 'Winner' while three of the eight balloons have slips of paper that are blank.

Suppose you pop a balloon with each of your three darts. If all three balloons have 'Winner'slips,

you win the grand prize. If all three balloons have blank slips, you win the consolation prize.

What is the probability that:

a) you win the grand prize?

b) you win the consolation prize?